{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2308d328198>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "X,y= make_blobs(\n",
    "    n_samples=200,  #样例的个数\n",
    "    n_features=2,   #每个样例的特征数\n",
    "    centers=4, #样本的类别\n",
    "    cluster_std=1,  #样本的离散程度，可以用[1,0.2,0.9,0.8]列表指定不同的离散程度\n",
    "    center_box=(-10.0,10.0),  #限定中心点的位置\n",
    "    shuffle=True,  #是否打乱数据顺序\n",
    "    random_state=1   \n",
    ")\n",
    "\n",
    "plt.figure(figsize=(12,10))\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.scatter(X[:,0],X[:,1],s=20,marker='o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score:  -668.2828657568907\n"
     ]
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "n_clusters=3\n",
    "kmean=KMeans(n_clusters=n_clusters)\n",
    "\n",
    "kmean.fit(X)\n",
    "\n",
    "print('score: ',kmean.score(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2308dd911d0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels=kmean.labels_   #模型最后得到的分类的标签\n",
    "centers=kmean.cluster_centers_   #最后得到的模型的聚类中心点\n",
    "\n",
    "\n",
    "markers=['o','^','*']\n",
    "colors=['r','b','y']\n",
    "\n",
    "plt.figure(figsize=(12,8))\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "\n",
    "for c in range(n_clusters):  #c =[0,1,2]\n",
    "    cluster=X[labels==c]\n",
    "    plt.scatter(cluster[:,0],cluster[:,1],marker=markers[c],s=60,c=colors[c])\n",
    "\n",
    "#画中心点\n",
    "\n",
    "plt.scatter(centers[:,0],centers[:,1],marker='o',c='green',alpha=0.9,s=200)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fit_plot_kmean(n_clusters, X):\n",
    "    kmean=KMeans(n_clusters=n_clusters)\n",
    "\n",
    "    kmean.fit(X)\n",
    "\n",
    "    print('score: ',kmean.score(X))\n",
    "    \n",
    "    labels=kmean.labels_   #模型最后得到的分类的标签\n",
    "    centers=kmean.cluster_centers_   #最后得到的模型的聚类中心点\n",
    "\n",
    "\n",
    "    markers=['o','^','*','s','x','+']\n",
    "    colors=['r','b','y','k','g','m']\n",
    "\n",
    "    #画出样本数据\n",
    "    for c in range(n_clusters):  #c =[0,1,2]\n",
    "        cluster=X[labels==c]\n",
    "        plt.scatter(cluster[:,0],cluster[:,1],marker=markers[c],s=60,c=colors[c])\n",
    "\n",
    "    #画中心点\n",
    "\n",
    "    plt.scatter(centers[:,0],centers[:,1],marker='o',c='green',alpha=0.9,s=200)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score:  -1422.4338956484148\n",
      "score:  -668.2828657568907\n",
      "score:  -345.9254967764134\n",
      "score:  -304.76710929560016\n",
      "score:  -267.3735001638431\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_clusters=[2,3,4,5,6]\n",
    "\n",
    "plt.figure(figsize=(12,8))\n",
    "\n",
    "for i,c in enumerate(n_clusters):\n",
    "    plt.subplot(2,3,i+1)\n",
    "    fit_plot_kmean(c,X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
